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230176376451 = 32719212779691
BaseRepresentation
bin1101011001011110010…
…1001100011010000011
3211000010101110102212200
43112113211030122003
512232400123021301
6253424102324243
722425661626630
oct3262745143203
9730111412780
10230176376451
118968762249a
1238739729683
13189230b9a28
14b1d7b1d187
155ec27dcc86
hex359794c683

230176376451 has 72 divisors (see below), whose sum is σ = 404187623424. Its totient is φ = 123624053280.

The previous prime is 230176376449. The next prime is 230176376473. The reversal of 230176376451 is 154673671032.

230176376451 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 7 + 637 + 6 + 4 + 5 + 1 = 666.

230176376451 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230176376451 - 21 = 230176376449 is a prime.

It is a super-2 number, since 2×2301763764512 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230176376397 and 230176376406.

It is not an unprimeable number, because it can be changed into a prime (230176376491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2848516 + ... + 2928206.

It is an arithmetic number, because the mean of its divisors is an integer number (5613716992).

Almost surely, 2230176376451 is an apocalyptic number.

230176376451 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230176376451 is a deficient number, since it is larger than the sum of its proper divisors (174011246973).

230176376451 is a wasteful number, since it uses less digits than its factorization.

230176376451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79869 (or 79847 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 230176376451 in words is "two hundred thirty billion, one hundred seventy-six million, three hundred seventy-six thousand, four hundred fifty-one".

Divisors: 1 3 7 9 19 21 57 63 127 133 171 361 381 399 889 1083 1143 1197 2413 2527 2667 3249 7239 7581 8001 16891 21717 22743 45847 50673 79691 137541 152019 239073 320929 412623 557837 717219 962787 1514129 1673511 2888361 4542387 5020533 10120757 10598903 13627161 28768451 30362271 31796709 70845299 86305353 91086813 95390127 192294383 201379157 212535897 258916059 576883149 604137471 637607691 1346060681 1730649447 1812412413 3653593277 4038182043 10960779831 12114546129 25575152939 32882339493 76725458817 230176376451